{"id":27513,"date":"2003-12-12T00:00:00","date_gmt":"2003-12-12T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/puntos-conjugados-de-geodesicas-luminosas-en-variedades-de-lorentz\/"},"modified":"2003-12-12T00:00:00","modified_gmt":"2003-12-12T00:00:00","slug":"puntos-conjugados-de-geodesicas-luminosas-en-variedades-de-lorentz","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/malaga\/puntos-conjugados-de-geodesicas-luminosas-en-variedades-de-lorentz\/","title":{"rendered":"Puntos conjugados de geodesicas luminosas en variedades de lorentz"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Palomo Ruiz Francisco Jos\u00e9 <\/strong><\/h2>\n<p>La tesis tiene por objetivo investigar relaciones entre los puntos conjugados de las geod\u00e9sicas luminosas de una variedad de lorentz y propiedades geom\u00e9tricas y topol\u00f3gicas globales de la variedad. Adem\u00e1s las t\u00e9cnicas desarrolladas han permitido, por un lado, dar condiciones indirectas bajo las cuales dichos puntos conjugados deben existir y por otra encontrar resultados de clasificaci\u00f3n para ciertas familias de variedades de lorentz sin puntos conjugados a lo largo de sus geod\u00e9sicas luminosas.  varias herramientas utilizadas son esencialmente nuevas. As\u00ed, se han construido dos fibrados sobre una variedad de lorentz. El primero de ellos puede ser identificados con la variedad de direcciones luminosas y el segundo tiene por fibra sobre cada punto todos los planos tangentes a la variedad de lorentz en los cuales la restricci\u00f3n del tensor m\u00e9trico resulta ser degenerada.  los principales resultados son desigualdades integrales que involucran a los puntos conjugados sobre las geod\u00e9sicas luminosas.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Puntos conjugados de geodesicas luminosas en variedades de lorentz<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Puntos conjugados de geodesicas luminosas en variedades de lorentz <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Palomo Ruiz Francisco Jos\u00e9 <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 M\u00e1laga<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 12\/12\/2003<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Alfonso Romero Sarabia<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Turiel sand\u00edn fco. javier <\/li>\n<li>Miguel S\u00e1nchez caja (vocal)<\/li>\n<li>Manuel Barros diaz (vocal)<\/li>\n<li>eduardo Garcia rio (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Palomo Ruiz Francisco Jos\u00e9 La tesis tiene por objetivo investigar relaciones entre los puntos conjugados de las [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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